A right-angled triangle has perpendicular sides of length 6cm and 8cm, and a hypoteneuse of 2y cm. Find the length of y.

By Pythagoras' Theorem:(2y)2= 62 + 824y2 = 36 +64y2 = 9 + 16y2 = 25y = ±5However, dimensions can only have a positive value. Therefore y=5

ES

Related Maths GCSE answers

All answers ▸

Solve the following two equations simultaneously: 3x + y = 10, x + y = 4


Solve 3x – 5 < 16


There is a spinner game at a fair. The spinner is numbered with all even numbers from 2 to 12. Each section is equal in size. Dan has numbers 4 and 10. What is the probability that he wins a prize? Give your answer as a fraction in its simplest form.


Solve the simultaneous equations: 2x+2y = 10 and 7x + 4y = 26